• 论文 • 上一篇    下一篇

一类最优跳频序列族的代数构造

徐善顶1,曹喜望2,许广魁3   

  1. 1.南京工程学院数理部,南京 211167;  南京航空航天大学数学系,南京 211106;2.南京航空航天大学数学系, 南京 211106;  中国科学院信息工程研究所信息安全国家重点实验室, 北京 100093;3.南京航空航天大学数学系,南京 211106; 淮南师范学院数学系,淮南 232038
  • 出版日期:2016-08-25 发布日期:2016-09-26

徐善顶,曹喜望,许广魁. 一类最优跳频序列族的代数构造[J]. 系统科学与数学, 2016, 36(8): 1329-1338.

XU Shanding,CAO Xiwang,XU Guangkui. AN ALGEBRAIC CONSTRUCTION OF  OPTIMAL FREQUENCY-HOPPING SEQUENCES SET[J]. Journal of Systems Science and Mathematical Sciences, 2016, 36(8): 1329-1338.

AN ALGEBRAIC CONSTRUCTION OF  OPTIMAL FREQUENCY-HOPPING SEQUENCES SET

XU Shanding 1, CAO Xiwang 2, XU Guangkui3   

  1. 1.Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167;  Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106;2.Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016;State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093;3.Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106;Department of Mathematics, Huainan Normal University, Huainan 232038
  • Online:2016-08-25 Published:2016-09-26

在通信系统中, 直接序列扩频和跳频扩频是两种最主要的扩散编码技术. 而在FH-CDMA系统中, 跳频序列被广泛使用. 利用分圆法和离散对数函数, 首先构造了一类具有新参数的跳频序列族, 并给出了各类汉明相关值的计算公式. 其次, 证明了所构造的跳频序列(族)所具有的最优性.

Direct-sequence spread spectrum and frequency-hopping spread spectrum are two main spread coding technologies in communication systems. Frequency-hopping sequences are widely needed in FH-CDMA systems. Firstly, a new frequency-hopping sequences set with new parameters is constructed, the calculation formulas of all kinds of Hamming correlation values of which are given. Secondly, the proposed frequency-hopping sequences (set) are shown to be optimal.

MR(2010)主题分类: 

()
[1] 田诗竹,陈媛. 一类幂函数在$\mathbb{F}_{p^n}$上的差分谱[J]. 系统科学与数学, 2017, 37(5): 1351-1367.
[2] 徐善顶,曹喜望,顾晶晶. 基于广义分圆法的一类素数幂周期跳频序列[J]. 系统科学与数学, 2017, 37(1): 266-276.
[3] 蔡晗,陈媛,曾祥勇,彭松. 次最优跳频序列集的构造[J]. 系统科学与数学, 2015, 35(5): 588-600.
[4] 王维琼;张文鹏. 关于设计距离为7的BCH码的非循环等价类[J]. 系统科学与数学, 2006, 26(1): 42-047.
阅读次数
全文


摘要